Question: N balls labeled 1 through N are placed in Box
N balls labeled 1 through N are placed in Box 1 while a Box 2 is initially empty. At each time instant, one of the N balls is chosen (with equally probability) and moved to the other box. Let X [k] be the number of balls in Box 1 at time instant k. Draw a state diagram and find the transition probability matrix for this Markov chain.
Relevant QuestionsAn Inventory Model - A hot dog vendor operates a stand where the number of hot dogs he sells each day is modeled as a Poisson random variable with a mean value of 100. Let X [k] represents the number of hot dogs the vendor ...Consider a random sinusoidal process of the form X (t) = bcos (2πft + θ), where θ has an arbitrary PDF fθ(θ), . Analytically determine how the PSD of X (t) depends on fθ(θ). Give an intuitive explanation for your ...Consider a random process Z (t) = X (t) + Y (t). (a) Find an expression for SZZ (f) in terms of SXX (f), SYY (f) and SXY (f). (b) Under what conditions does SZZ (f) = SXX (f) + SYY (f)? Suppose we wish to predict the next value of a random process by forming a linear combination of the most recent samples: Find an expression for the values of the prediction coefficients which minimize the mean- square ...Suppose two resistors of impedance r1 and r2 are placed in series and held at different physical temperatures, t1 and t2. We would like to model this series combination of noisy resistors as a single noiseless resistor with ...
Post your question